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Finding the Fourth Proportional to 22,481.89, 31,024.58 and 12,410.64

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Solution

The fourth proportional to 22,481.89, 31,024.58 and 12,410.64 is: 17,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,481.89 : 31,024.58 = 12,410.64 : x
  2. Step 2: Convert to fraction form
    22,481.89/31,024.58 = 12,410.64/x
  3. Step 3: Cross multiply
    22,481.89x = 31,024.58 × 12,410.64
  4. Step 4: Simplify right side
    22,481.89x = 385,034,831.48
  5. Step 5: Solve for x
    x = 385,034,831.48/22,481.89
  6. Step 6: Final answer
    x = 17,126.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.